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The Resource A compendium of partial differential equation models : method of lines analysis with Matlab, William E. Schiesser, Graham W. Griffiths
A compendium of partial differential equation models : method of lines analysis with Matlab, William E. Schiesser, Graham W. Griffiths
Resource Information
The item A compendium of partial differential equation models : method of lines analysis with Matlab, William E. Schiesser, Graham W. Griffiths represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Oklahoma Libraries.This item is available to borrow from all library branches.
Resource Information
The item A compendium of partial differential equation models : method of lines analysis with Matlab, William E. Schiesser, Graham W. Griffiths represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Oklahoma Libraries.
This item is available to borrow from all library branches.
 Summary
 Mathematical modelling of physical and chemical systems is used extensively throughout science, engineering, and applied mathematics. To use mathematical models, one needs solutions to the model equations; this generally requires numerical methods. This book presents numerical methods and associated computer code in Matlab for the solution of a spectrum of models expressed as partial differential equations (PDEs). The authors focus on the method of lines (MOL), a wellestablished procedure for all major classes of PDEs, where the boundary value partial derivatives are approximated algebraically by finite differences. This reduces the PDEs to ordinary differential equations (ODEs) and makes the computer code easy to understand, implement, and modify. Also, the ODEs (via MOL) can be combined with any other ODEs that are part of the model (so that MOL naturally accommodates ODE/PDE models). This book uniquely includes a detailed linebyline discussion of computer code related to the associated PDE model
 Language
 eng
 Extent
 1 online resource (xiii, 474 pages)
 Note
 Title from publisher's bibliographic system (viewed on 05 Oct 2015)
 Contents

 An introduction to the method of lines
 A onedimensional, linear partial differential equation
 Green's function analysis
 Two nonlinear, variablecoeffcient, inhomogeneous partial differential equations
 Euler, Navier Stokes, and Burgers equation
 The cubic SchrÃ¶dinger equation
 The KortewegdeVries equation
 The linear wave equation
 Maxwell's equations
 Elliptic partial differential equations: Laplace's equation
 Threedimensional partial differential equation
 Partial differential equation with a mixed partial derivative
 Simultaneous, nonlinear, twodimensional partial differential equations in cylindrical coordinates
 Diffusion equation in spherical coordinates
 Appendixes: 1. Partial differential equations from conservation principles: the Anisotropic diffusion equation
 2. Order conditions for finitedifference approximations
 3. Analytical solution of nonlinear, traveling wave partial differential equations
 4. Implementation of timevarying boundary conditions
 5. The differentiation in space subroutines library
 6. Animating simulation results
 Isbn
 9780511576270
 Label
 A compendium of partial differential equation models : method of lines analysis with Matlab
 Title
 A compendium of partial differential equation models
 Title remainder
 method of lines analysis with Matlab
 Statement of responsibility
 William E. Schiesser, Graham W. Griffiths
 Language
 eng
 Summary
 Mathematical modelling of physical and chemical systems is used extensively throughout science, engineering, and applied mathematics. To use mathematical models, one needs solutions to the model equations; this generally requires numerical methods. This book presents numerical methods and associated computer code in Matlab for the solution of a spectrum of models expressed as partial differential equations (PDEs). The authors focus on the method of lines (MOL), a wellestablished procedure for all major classes of PDEs, where the boundary value partial derivatives are approximated algebraically by finite differences. This reduces the PDEs to ordinary differential equations (ODEs) and makes the computer code easy to understand, implement, and modify. Also, the ODEs (via MOL) can be combined with any other ODEs that are part of the model (so that MOL naturally accommodates ODE/PDE models). This book uniquely includes a detailed linebyline discussion of computer code related to the associated PDE model
 Cataloging source
 UkCbUP
 http://library.link/vocab/creatorName
 Schiesser, W. E
 Dewey number
 515/.353
 Index
 index present
 LC call number
 QA377
 LC item number
 .S3538 2009
 Literary form
 non fiction
 Nature of contents
 dictionaries
 http://library.link/vocab/relatedWorkOrContributorName
 Griffiths, Graham W.
 http://library.link/vocab/subjectName
 Differential equations, Partial
 Label
 A compendium of partial differential equation models : method of lines analysis with Matlab, William E. Schiesser, Graham W. Griffiths
 Note
 Title from publisher's bibliographic system (viewed on 05 Oct 2015)
 Carrier category
 online resource
 Carrier category code
 cr
 Carrier MARC source
 rdacarrier
 Content category
 text
 Content type code
 txt
 Content type MARC source
 rdacontent
 Contents
 An introduction to the method of lines  A onedimensional, linear partial differential equation  Green's function analysis  Two nonlinear, variablecoeffcient, inhomogeneous partial differential equations  Euler, Navier Stokes, and Burgers equation  The cubic SchrÃ¶dinger equation  The KortewegdeVries equation  The linear wave equation  Maxwell's equations  Elliptic partial differential equations: Laplace's equation  Threedimensional partial differential equation  Partial differential equation with a mixed partial derivative  Simultaneous, nonlinear, twodimensional partial differential equations in cylindrical coordinates  Diffusion equation in spherical coordinates  Appendixes: 1. Partial differential equations from conservation principles: the Anisotropic diffusion equation  2. Order conditions for finitedifference approximations  3. Analytical solution of nonlinear, traveling wave partial differential equations  4. Implementation of timevarying boundary conditions  5. The differentiation in space subroutines library  6. Animating simulation results
 Extent
 1 online resource (xiii, 474 pages)
 Form of item
 online
 Isbn
 9780511576270
 Isbn Type
 (ebook)
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code
 c
 Other physical details
 digital, PDF file(s).
 Specific material designation
 remote
 System control number
 (UkCbUP)CR9780511576270
 Label
 A compendium of partial differential equation models : method of lines analysis with Matlab, William E. Schiesser, Graham W. Griffiths
 Note
 Title from publisher's bibliographic system (viewed on 05 Oct 2015)
 Carrier category
 online resource
 Carrier category code
 cr
 Carrier MARC source
 rdacarrier
 Content category
 text
 Content type code
 txt
 Content type MARC source
 rdacontent
 Contents
 An introduction to the method of lines  A onedimensional, linear partial differential equation  Green's function analysis  Two nonlinear, variablecoeffcient, inhomogeneous partial differential equations  Euler, Navier Stokes, and Burgers equation  The cubic SchrÃ¶dinger equation  The KortewegdeVries equation  The linear wave equation  Maxwell's equations  Elliptic partial differential equations: Laplace's equation  Threedimensional partial differential equation  Partial differential equation with a mixed partial derivative  Simultaneous, nonlinear, twodimensional partial differential equations in cylindrical coordinates  Diffusion equation in spherical coordinates  Appendixes: 1. Partial differential equations from conservation principles: the Anisotropic diffusion equation  2. Order conditions for finitedifference approximations  3. Analytical solution of nonlinear, traveling wave partial differential equations  4. Implementation of timevarying boundary conditions  5. The differentiation in space subroutines library  6. Animating simulation results
 Extent
 1 online resource (xiii, 474 pages)
 Form of item
 online
 Isbn
 9780511576270
 Isbn Type
 (ebook)
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code
 c
 Other physical details
 digital, PDF file(s).
 Specific material designation
 remote
 System control number
 (UkCbUP)CR9780511576270
Library Locations

Architecture LibraryBorrow itGould Hall 830 Van Vleet Oval Rm. 105, Norman, OK, 73019, US35.205706 97.445050



Chinese Literature Translation ArchiveBorrow it401 W. Brooks St., RM 414, Norman, OK, 73019, US35.207487 97.447906

Engineering LibraryBorrow itFelgar Hall 865 Asp Avenue, Rm. 222, Norman, OK, 73019, US35.205706 97.445050

Fine Arts LibraryBorrow itCatlett Music Center 500 West Boyd Street, Rm. 20, Norman, OK, 73019, US35.210371 97.448244

Harry W. Bass Business History CollectionBorrow it401 W. Brooks St., Rm. 521NW, Norman, OK, 73019, US35.207487 97.447906

History of Science CollectionsBorrow it401 W. Brooks St., Rm. 521NW, Norman, OK, 73019, US35.207487 97.447906

John and Mary Nichols Rare Books and Special CollectionsBorrow it401 W. Brooks St., Rm. 509NW, Norman, OK, 73019, US35.207487 97.447906


Price College Digital LibraryBorrow itAdams Hall 102 307 West Brooks St., Norman, OK, 73019, US35.210371 97.448244

Western History CollectionsBorrow itMonnet Hall 630 Parrington Oval, Rm. 300, Norman, OK, 73019, US35.209584 97.445414
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